Stochastic user equilibrium and its variational inequality problem

Stochastic user equilibrium and its variational inequality problem

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Article ID: iaor20043197
Country: China
Volume: 23
Issue: 1
Start Page Number: 120
End Page Number: 127
Publication Date: Jan 2003
Journal: Journal of Systems Science and Complexity
Authors:
Keywords: urban affairs
Abstract:

This paper deals with the stochastic user equilibrium (SUE) conditions and SUE assignment problem in urban transportation networks with the help of utility theory. It has been proved that an SUE assignment problem can be formulated as a variational inequality (VI) problem under a weak assumption. In addition, the equivalent relationship among the variational inequality (VI) problem, the complementary problem and a convex programming is discussed. The case of elastic demand is also studied.

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